Verified by the CalcTree engineering team on September 23, 2024
This calculator designs a web plate connection, performing the critical required checks: bolt shear, web (cleat) plate shear and bending, weld combined shear and bending, supported member (beam) shear; and punching shear of the supporting member (column). A web plate connection is typical of a beam to column flange connection that acts as a pin support for the beam.
All calculations are performed in accordance withAS4100-2020.
Design checks for a web plate connection are not explicitly stated in AS4100. The design methods presented below are based on Design Guide 3: Web side plate connections published by the Australian Steel Institute (ASI).
Results Summary
Summary
Design Check
Parameter
Utilisation
Status
Cleat thickness
t,limit = 7.7 mm
0.78
🟢
Bolt shear
Zb ΦVf = 47.9 kN
1.04
🔴
Weld check
ΦVa = 81.8 kN
0.61
🟢
Beam shear
ΦVv, web = 162.4 kN
0.31
🟢
Cleat shear
ΦV, cleat = 43.1 kN
1.16
🔴
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Calculation
Technical notes
1. Properties
1.1 Supported Member Properties
1.1.1 Beam section
Beam_section
:310 UB 40.4
d
:304
d1
:284
tf
:10.2
t_web
:6.1
fyw
:320
fu_web
:440
1.1.2 Minimum design actions
phi_Vv
:320.0
ϕVvm=ϕVv=ϕ×{Vw=0.6fyAwVb=αvVw
Cl 5.12.3
Vmin
:48.0 kN
Vmin∗=max(0.15×ϕVvm,40kN)
Cl 9.1.4
1.2 Supporting Member Properties
1.2.1 Column section
Column_section
:200 UC 59.5
d_col
:210
tf_col
:9.3
Column grade
:350
fu
:430
1.3 Cleat Plate Properties
1.3.1 Cleat thickness
ti
:10mm
1.3.2 Cleat Grade
Cleat grade
:250
fui
:410
fyi
:260
1.3.3 Eccentricity
Sg1
:55 mm
Sg1=20mm+bolt edge distance
1.4 Bolt Properties
1.4.1 Bolt size
Bolt_size
:M16
1.4.2 Number of bolt rows
np
:3
1.4.3 Bolt category
As per Table 9.2.1, "grades" and "method of tensioning" are descriptions used to classify bolts.
Bolt grades:
4.6 bolts are made from a low carbon steel. The value
fuf=430MPa
.
8.8 bolts are made from a high-strength, heat-treated, medium carbon steel. The value
fuf=830MPa
.
Bolt tensioning specifications:
"S" is a snug-tightened bolt
"TB" is a fully tensioned bolt using the bearing types
"TF" is a fully tensioned bolt using the friction type
This calculator assumes the tensioning specifications is "S", as "TB" & "TF" are not recommended for cleat connections. The applications for the bolt types are provided below.
Connected member shear check is especially important for coped members.
This calculator currently does not consider coped members. Therefore, the beam shear capacity is provided by the web, and is the web shear capacity of the full section. As per Clause 5.11.4 AS4100-2020 and Section 10.5 of Design Guide 3, the beam's shear capacity is given by:
Vd∗≤ϕVv=ϕ0.6fywAw=ϕ0.6fywd1tweb
Where
ϕ=0.9
for webs in shear as per Table 3.4.
ΦVv, web
:299.4 kN
ϕVv=ϕ0.6fywAw=ϕ0.6fywd1tweb
Beam util
:0.33
Beam check
:V*d ≤ ΦVv, web 🟢
Vd∗≤ϕVv
3.5 Cleat check
As per Section 10.4 of Design Guide 3, the cleat check is given by:
Vd∗≤ϕVcleat=min(ϕVc,ϕVd)
This includes two sub-checks:
2.5.1 Cleat plate in shear,
ϕVc
ϕVc=ϕ×0.5×fyi×ti×di
2.5.2 Clear plate in bending,
ϕVd
which is a re-arrangement of bending capacity formula and converting into shear force, given by:
ϕM=ϕfyZUsing:M=V×e→ϕVd=ϕfyi4tidi2×e1
Where:
e=Sg1
is the applied load eccentricity, that is, the distance between the centerline of the bolts and the face of the column.